#8 Not you, "them". As in "they" (but not the gender "they").
I think they are saying because 4=1+1+1+1 and 2+2 and 2+1+1, you only have to look for primes in it's greatest common divisor, like 2?
I'm going to find this paper. A lot of times math like this goes beyond my pay grade but it's still fun to try to understand.
Told thee.